The mean curvature blows up at nondegenerate neck pinch singularities of Lagrangian mean curvature flow
Lotay, J Oliveira, G (25 Sep 2026)
Tue, 13 Oct 2026
16:00
L6

A combinatorial approach to the CUE joint moment problem

George Snape
(University of Bristol)
Abstract
The joint moment problem asks to compute the averages of characteristic polynomials and their derivatives of random matrices drawn from one of the classical compact groups. Following the work of Bump and Gamburd (2006) and then Dehaye (2010), we will discuss the role of representation theory in this problem.
We then present recent work of the speaker giving an exact expression for these moments, valid for both finite matrix size and asymptotically. The expressions have a rich combinatorial structure, due to their relation to Kostka numbers and counting integer matrices (magic squares).
Time permitting, we will discuss a proof of a conjecture of Basor et al. (2018) on the connection between this problem and the irregular conformal block expansion of the Painlevé tau function.
Thu, 22 Oct 2026
17:00
L3

Binding group construction in model theory and category theory

Ivan Tomasic
(Queen Mary University, London)
Abstract

The model-theoretic construction of the binding group in the presence of internality has proven to be one of the most important group existence theorems. It saw numerous applications, including those in differential Galois theory, envisaged by Poizat, and pursued by Pillay in his generalisation of the strongly normal theory of Kolchin.

We show how to view the binding group construction as an instance of Janelidze's categorical Galois theory. This allows us to apply it in areas beyond model theory, for example to the scheme-theoretic treatment of Pillay's differential Galois theory.

We will discuss connections with Hrushovski’s work on groupoids.

Microsoft is making sign-in more secure by phasing out text and phone call authentication for multi-factor authentication (MFA). These methods are easier for attackers to compromise. Instead, users will be required to switch to stronger authentication methods such as a passkey, using the Microsoft Authenticator mobile app, or other more secure options.

Apparently there are about 7,000 people in the university whose only MFA methods are the ones that will be withdrawn. Are you one of the 7,000?

Probability flow ODEs in score-based and reflected diffusion models
Cont, R (01 Oct 2026)
Fri, 27 Nov 2026
13:30
C6

TBC

Qiu Shi Wang
((Mathematical Institute University of Oxford))
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